Well-posedness and blow-up for an inhomogeneous semilinear parabolic equation

DOI10.7153/dea-2021-13-06zbMath1488.35274arXiv2008.01290OpenAlexW3150508665WikidataQ115157936 ScholiaQ115157936MaRDI QIDQ5006112

Mohamed Majdoub

Publication date: 12 August 2021

Published in: Differential Equations & Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.01290

zbMATH Keywords

global existencedifferential inequalitiesfinite time blow-upcritical Fujita exponentinhomogeneous parabolic equationforcing term depending of time and space

Mathematics Subject Classification ID

Heat equation (35K05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44)

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